Nonlinear Finite Element Methods

By Peter Wriggers. 2008

1,202 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c14a3574dadef0bb3bbc1e064c3e0418dd510448

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Dominik Schillinger
2. Martin Ruess
3. Thomas J. R. Hughes
4. Alessandro Reali
5. Alexander Düster
6. Josef Kiendl
7. Ernst Rank
8. Ming-Chen Hsu

In Mechanical Engineering

1. Dominik Schillinger
2. Josef Kiendl
3. Martin Ruess
4. Alessandro Reali
5. Roger Andrew Sauer
6. Callum J. Corbett
7. Ernst Rank
8. Alexander Düster

In Mechanics of Materials

1. Dominik Schillinger
2. Martin Ruess
3. Alexander Düster
4. Ernst Rank
5. Thomas J. R. Hughes
6. Peter Wriggers
7. Alessandro Reali
8. Yuri Bazilevs

Citations in the corpus

• The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics (2012, background): “The consistent linearization of the discretized weak form DıW of Equation (17) in the direction of incremental coefficients ua is described in detail in [35,36,48,49] and leads to a discrete system of the form .”
• The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, methodology): “The adaptation d rectly follows the standard finite element formulation, for which details can be found in [20,24,37,80,187].”
• Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, background): “More detailed information on this formulation is found in standard textbooks on nonlinear finite element analysis [30, 31, 32].”
• Three-dimensional isogeometrically enriched finite elements for frictional contact and mixed-mode debonding (2015, methodology): “It is known that these elements can lead to hour-glassing when subjected to excessive compressive forces, see Wriggers (2008), which is not the case in the set-up considered here.”
• Fractional-order uniaxial visco-elasto-plastic models for structural analysis (2016, methodology): “We consider the equation of conservation of linear momentum in the discrete implicit form using a Newmark integration scheme without damping effects [35], Man+1 + Rn+1 = Pn+1, (B.”
• Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method (2012, background): “From a physical point of view, this can be interpreted as a penetration of material, which constitutes a severe violation of the principles of continuum mechanics [45,74,75].”